A new generalized-upper record values-G family of lifetime distributions

A new family of compound lifetime distributions

Generalized Measures of Divergence for Lifetime Distributions

Measures of divergence or discrepancy are used either to measure mutual information concerning two variables or to construct model selection criteria. In this paper we are focusing on divergence measures that are based on a class of measures known as Csiszar’s divergence measures. In particular, we propose a measure of divergence between residual lives of two items that have both survived up to...

Introducing a New Lifetime Distribution of Power Series Distribution of the Family Gampertz

In this Paper, We propose a new three-parameter lifetime of Power Series distributions of the Family Gampertz with decreasing, increasing, increasing-decreasing and unimodal Shape failure rate. The distribution is a Compound version of of the Gampertz and Zero-truncated Possion distributions, called the Gampertz-Possion distribution (GPD). The density function, the hazard rate function, a gener...

Evaluating the Lifetime Performance Index Based on the Bayesian Estimation for the Rayleigh Lifetime Products with the Upper Record Values

Quality management is very important for many manufacturing industries. Process capability analysis has been widely applied in the field of quality control to monitor the performance of industrial processes. Hence, the lifetime performance indexC L is utilized to measure the performance of product, where L is the lower specification limit. This study constructs a Bayesian estimator of C L under...

Statistical Inference Based on Upper Record Values

The goal of this thesis is to examine methods of statistical inference based on upper record values. This includes estimation of parameters based on samples of record values and prediction of future record values. We first define and discuss record times and record values and their distributions. Then we propose an efficient algorithm to generate random samples of record values. The algorithm, ...